in the 1950- 1960 timeframe. Unfortunately the original company doesn’t exist anymore and some of the data for Al 6061 was lost. • Al 6061 undergoes a heat treatment to obtain certain mechanical properties and to age the metal. • We have EBSD, TEM, SEM, and Optical data from Al 6061 treated at 400℉, 650℉, and 775℉. • Find the temperature at which the metal was treated at. • We could “purchase” EBSD, TEM, SEM, and Optical data of the metal in question. We could also hire consultants for a fee for assistance on the project. Problem Introduction | 2
of precipitate clusters in Al 6061 is dependent on the Gibbs free energy of the system • The probability (P) of a thermodynamic fluctuation of critical free energy, ∆G*, and the jump frequency of growth species, Γ, from one site to another are given by: • Rate of nucleation is then given by: Background | 4
transformation of β’ precipitate (needle shaped to rod shaped): 572°F 2. Nose (Fastest Transformation): 707°F 3. Total Transformation (needle shaped to rod shaped): 752°F
7 400℉ - 20x Unknown - 20x 650℉ - 20x The distributions changed dramatically at 650℉, but there was no readily discernible difference between the 400℉ sample and the unknown sample. This is due in part to the sudden nucleation of precipitates as the heat treatment temperature approaches 707℉, the “nose” of the β’ transformation curve.
represent the particulate clusters in the β’ phase. As the rate of nucleation below the nose of the TTT curve is proportional to Gibbs Free Energy, an exponential function, the temperature was determined via a logarithmic interpolation of particulate count between 400 ℉ and 650 ℉. The estimated heat treatment from this interpolation was ~520℉. Interpolated Heat Treatment Temperature vs. Particle Size
used three different processes: • Fast Fourier Transformation (FFT) ◦ Applicable between temperatures 650℉ - 775℉ due to the phase transition. • Particle Count ◦ Applicable between temperatures 650℉ - 775℉. • Particulate Count ◦ Applicable between temperatures 400℉ - 650℉ due to precipitate nucleation. To distinguish between the two temperature regions we visually estimated the number of rod shaped particulates. The unknown sample was between 400℉ - 650℉, so we used particulate count. The estimated heat treatment temperature of the metal is approximately 520℉. The data for this experiment can be found at: https://drive.google.com/folderview? id=0BxjfpZa9juuwcGdGc0FadkFWdUU&usp=sharing Conclusion Conclusion | 11